88641 has 24 divisors (see below), whose sum is σ = 155040. Its totient is φ = 49896.

The previous prime is 88609. The next prime is 88643. The reversal of 88641 is 14688.

It is not a de Polignac number, because 88641 - 2⁵ = 88609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (88643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1290 + ... + 1356.

It is an arithmetic number, because the mean of its divisors is an integer number (6460).

2⁸⁸⁶⁴¹ is an apocalyptic number.

It is an amenable number.

88641 is a deficient number, since it is larger than the sum of its proper divisors (66399).

88641 is a wasteful number, since it uses less digits than its factorization.

88641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 77 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 88641 is about 297.7263844539. The cubic root of 88641 is about 44.5873384665.

It can be divided in two parts, 88 and 641, that added together give a 6-th power (729 = 3⁶).

The spelling of 88641 in words is "eighty-eight thousand, six hundred forty-one".